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Finding the Third Proportional to 27,723 and 59,415

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Solution

The third proportional to 27,723 and 59,415 is: 127,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723 : 59,415 = 59,415 : x
  2. Step 2: Convert to fraction form
    27,723/59,415 = 59,415/x
  3. Step 3: Cross multiply
    27,723x = 59,415 × 59,415
  4. Step 4: Simplify right side
    27,723x = 3,530,142,225
  5. Step 5: Solve for x
    x = 3,530,142,225/27,723
  6. Step 6: Final answer
    x = 127,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.